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3 years ago

Another fraction that is equivalent to 2/5

Mathematics

2 answers:

Nat2105 [25]3 years ago

5 0

Another fraction that is equivalent to 2/5 is 4/10

Lelu [443]3 years ago

4 0

2/5 is equivalent to 4/10
Hope this helps

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Find the área of a trapezoid with a height of 4ft, base of 5ft and short base of 2

sweet [91]

Answer:

Step-by-step explanation:

The first thing you would want to do is to draw it out. Once you've drawn it out, you want to add the "imaginary lines" so the trapezoid will form into a rectangle. Then find out the area which is L * W. The area for the rectangle is 20.

Finally you want to take those imaginary pieces and find the area of those. Which would be three and then you want multiply by two since there is two of them. The last thing you need to do is subtract the six from 20.

Therefore the answer is 12.

7 0

3 years ago

Sonbull [250]

Answer:

$x=\boxed{6.6}$

$\overline{\sf DE}=\boxed{13.2}\:\:\sf units$

Step-by-step explanation:

Geometric Mean Theorem - Altitude Rule

The altitude drawn from the vertex of the right angle perpendicular to the hypotenuse separates the hypotenuse into two segments. The ratio of one segment to the altitude is equal to the ratio of the altitude to the other segment:

$\sf \dfrac{segment\:1}{altitude}=\dfrac{altitude}{segment\:2}$

From inspection of the given diagram:

altitude = FD = 9
segment 1 = CD = 5
segment 2 = DE = $2x+3$

$\begin{aligned}\sf \dfrac{segment\:1}{altitude} & = \sf \dfrac{altitude}{segment\:2}\\\\\implies \dfrac{5}{9} & = \dfrac{9}{2x+3}\\\\5(2x+3) & = 81\\\\10x+15 & = 81\\\\10x & = 66\\\\ \implies x & = 6.6\end{aligned}$

Substitute the found value of x into the expression for DE:

$\begin{aligned}\sf \overline{DE} & = 2x+3\\\implies \sf \overline{DE} & = 2(6.6)+3\\& = 13.2+3\\& =16.2\:\: \sf units\end{aligned}$

5 0

2 years ago

Read 2 more answers

A conservative estimate of the number of stars in the universe is 6 x 10^22. The average human can see about 3,000 stars at nigh

Ilia_Sergeevich [38]

$2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

<h3>Solution:</h3>

Given that, conservative estimate of the number of stars in the universe is $6 \times 10^{22}$

The average human can see about 3,000 stars at night with only their eyes

To find: Number of times more stars are there in the universe, compared to the stars a human can see

Let "x" be the number of times more stars are there in the universe, compared to the stars a human can see

Then from given statement,

$\text{Stars in universe} = x \times \text{ number of stars human can see}$

Substituting given values we get,

$6 \times 10^{22} = x \times 3000\\\\x = \frac{6 \times 10^{22}}{3000}\\\\x = \frac{6 \times 10^{22}}{3 \times 10^3}\\\\x = 2 \times 10^{22-3}\\\\x = 2 \times 10^{19}$

Thus $2 \times 10^{19}$ times more stars are there in universe compared to human eye can see

5 0

4 years ago

An ordered pair is written as:

faust18 [17]

An ordered pair is written as (x, y).

For example:

(4, 5)
(8, 10)
(10293102398102398, 234587204398769035287)
(zebra, giraffe)
(brainly, openstudy)

3 0

4 years ago

Read 2 more answers

Find the product. (3y-2)(3y+2)

VashaNatasha [74]

Answer:

=9y^2−4

Step-by-step explanation:

3y−2)(3y+2)

=(3y+−2)(3y+2)

=(3y)(3y)+(3y)(2)+(−2)(3y)+(−2)(2)

=9y^2+6y−6y−4

=9y^2−4

7 0

4 years ago

Read 2 more answers